most citedEvaluating the design space of diffusion-based generative models

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math.NA2024

Robust First and Second-Order Differentiation for Regularized Optimal Transport

Xingjie Li, Fei Lu, Molei Tao +1

Applications such as unbalanced and fully shuffled regression can be approached by optimizing regularized optimal transport (OT) distances, such as the entropic OT and Sinkhorn dis…

math.NA2024

Automated construction of effective potential via algorithmic implicit bias

Xingjie Helen Li, Molei Tao

We introduce a novel approach for decomposing and learning every scale of a given multiscale objective function in , where . This approach leverages a recentl…